Nonperturbative quantum corrections

TL;DR

This paper introduces a nonperturbative quantum correction method using nonassociative decomposition of quantum operators, leading to measurable effects like finite charge self-energy and modified gravitational interactions.

Contribution

It presents a novel nonperturbative quantization approach based on nonassociative algebra, providing new insights into quantum corrections in gravity and electromagnetism.

Findings

Quantum corrections can be measured via force radius and nonlocal object length.

The approach removes singularities in point charge models.

Finite self-energy for point charges is achieved.

Abstract

A nonperturbative quantization procedure based on a nonassociative decomposition of quantum field operators on nonassociative constituents is considered. It is shown that such approach gives rise to quantum corrections by calculations of expectation values of nonlinear functions of field operators. The corrections can in principle be measured as a radius of a force, characteristic length of nonlocal objects, the failure of connection compatibility with metric, and so on. The system of gravity interacting with Maxwell electromagnetism is considered. It is shown that quantum corrections from gravitoelectric coupling of a certain form leads to vanishing singularities of a point charge, including infinite self-energy.